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Finding the Fourth Proportional to 737.14, 1,105.68 and 274.78

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Solution

The fourth proportional to 737.14, 1,105.68 and 274.78 is: 412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.14 : 1,105.68 = 274.78 : x
  2. Step 2: Convert to fraction form
    737.14/1,105.68 = 274.78/x
  3. Step 3: Cross multiply
    737.14x = 1,105.68 × 274.78
  4. Step 4: Simplify right side
    737.14x = 303,818.75
  5. Step 5: Solve for x
    x = 303,818.75/737.14
  6. Step 6: Final answer
    x = 412.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.